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3 years ago

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Use the Distance Formula to find the distance between the pair of points. Round to the nearest tenth if necessary. W(2, 5), U(4,

3)

1 answer:

Naddik [55]3 years ago

4 0

<h3>The distance between the pair of points is 2.8 units</h3>

<em><u>Solution:</u></em>

Given that,

Points are W(2, 5), U(4, 3)

<em><u>Distance between two points is given as:</u></em>

$d = \sqrt{(y_2-y_1)^2 + (x_2-x_1)^2}$

From given,

$(x_1, y_1) = (2, 5)\\\\(x_2, y_2) = (4, 3)$

<em><u>Substituting the values we get,</u></em>

$d = \sqrt{(3-5)^2+(4-2)^2}\\\\d = \sqrt{(-2)^2 + (2)^2}\\\\ d = \sqrt{4+4}\\\\d = \sqrt{8}\\\\d = 2.8284$

$d \approx 2.8$

Thus the distance between the pair of points is 2.8 units

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A cylindrical container 30cm in diameter holds approximately 30 litres of oil. how far does the oil level fall after 1 litre of

LenaWriter [7]

The fall in the level of oil is <u>1.4147 cm</u> when the total volume of oil consumed is 1 liter.

We assume the drop in the level of water to be d cm.

Since the container is cylindrical in shape, its volume is given as:

V = πr²h, where V is the volume, r is the radius, and h is the height.

In the question, we are given that the diameter of the can is 30 cm.

Hence its radius = 30/2 = 15 cm.

The capacity of the container is given to be 30 liters or 30*1000 = 30000 cm³.

The volume of the oil used = 1 liter or 1*1000 = 1000 cm³.

Thus, substituting V = 1000, r = 15, and h = d, in the formula of the volume, V = πr²h, we get:

1000 = π(15)²(d),

or, d = 1000/(225π) = 1.4147.

Thus, the fall in the water level is 1.4147 cm.

Therefore, the fall in the level of oil is <u>1.4147 cm</u> when the total volume of oil consumed is 1 liter.

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2 years ago

You want to save $500 for a trip to Legoland you have planned in 6 months. Which inequality shows the least amount you must save

sladkih [1.3K]

Answer:

6x ≥ 500

Step-by-step explanation:

I took the test but also it means that in six months, you have to save that amount of money to get exactly or more than 500, so this would be the correct answer!

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3 years ago

Write the equation of the line that passes through (1 5) and (-2 14) in slope intercept form

Kryger [21]

To deliver what is being asked of the given above, solve first for the slope of the line. Given two points the slope is calculated by,

m = (y2 - y1) / (x2 -x1)

m = (14 - 5) / (-2 - 1) = -3

Use the point - slope to write the equation of the line,

y - y2 = m(x - x2)

y - 14 = -3(x - -2)

<em> y = -3x + 8</em>

Therefore, the answer is letter D.

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3 years ago

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Phantasy [73]

Answer:

E and A

Step-by-step explanation:

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3 years ago

Solve each equation. I don't know this

MArishka [77]

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5 0

4 years ago